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Finding the Fourth Proportional to 17,711.50, 26,570.76 and 5,231.74

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Solution

The fourth proportional to 17,711.50, 26,570.76 and 5,231.74 is: 7,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.50 : 26,570.76 = 5,231.74 : x
  2. Step 2: Convert to fraction form
    17,711.50/26,570.76 = 5,231.74/x
  3. Step 3: Cross multiply
    17,711.50x = 26,570.76 × 5,231.74
  4. Step 4: Simplify right side
    17,711.50x = 139,011,307.92
  5. Step 5: Solve for x
    x = 139,011,307.92/17,711.50
  6. Step 6: Final answer
    x = 7,848.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.